We study an extension of the standard framework for pedigree analysis, in which we allow pedigree founders to be inbred. This solves a number of practical challenges in calculating coefficients of relatedness, including condensed identity coefficients. As a consequence we expand considerably the class of pedigrees for which such coefficients may be efficiently computed. An application of this is the modelling of background inbreeding as a continuous effect. We also use inbred founders to shed new light on constructibility of relatedness coefficients, i.e., the problem of finding a genealogy yielding a given set of coefficients. In particular, we show that any theoretically admissible coefficients for a pair of noninbred individuals can be produced by a finite pedigree with inbred founders. Coupled with our computational methods, implemented in the R package ribd, this allows for the first time computer analysis of general constructibility solutions, thus making them accessible for practical use.

我们研究了谱系分析标准框架的扩展，其中允许谱系创建者近交。这解决了计算相关系数（包括浓缩的同一性系数）时的许多实际挑战。结果，我们大大扩展了可以有效计算此类系数的血统书的类别。此方法的一个应用是将背景近交作为连续效应进行建模。我们还利用近亲创始人来阐明可构造性相关系数的确定，即找到产生给定系数集的家谱的问题。特别地，我们表明，一对非近交个体的任何理论上可接受的系数都可以由近交创始人的有限​​谱系产生。结合我们的计​​算方法（在R包中使用ribed实现），这允许首次对通用可构造性解决方案进行计算机分析，从而使它们易于实际使用。